Other Resources

Algebra

Algebraic techniques are of central importance in modern mathematics. As such the algebra group sits naturally among a number of major research topics in the department, with connections to geometric topology via group theory, homotopy theory and number theory through representation theory, and algebraic geometry through geometric representation theory.

History of mathematics

History of mathematics is a multidisciplinary subject with close ties to the History Faculty. Research interests cover mathematics and its social context from the early modern period right up to the twentieth century.

Logic

Mathematical and Computational Finance

The Mathematical and Computational Finance Group is one of the world's
leading research group in the area of mathematical modelling in finance.
Research topics include derivative pricing,
computational methods, credit risk, quantitative risk management, market microstructure and
high-frequency modelling, macro-financial modelling and systemic risk.

Number theory

Members of the number theory group work in analytic and combinatorial number theory, arithmetical algebraic geometry, and computational number theory, with numerous and deep connections to current issues in algebra, combinatorics, geometry, topology, logic, and mathematical physics.

Numerical analysis

The numerical analysis group develops and analyses algorithms for mathematical problems related to partial differential equations, linear algebra, optimization and other areas. The is a strong involvement in applications, with particularly close connections with OCIAM, the Wolfson Centre for Mathematical Biology, and the Centre for Nonlinear PDE.

Oxford Centre for Industrial and Applied Mathematics

Oxford Centre for Nonlinear Partial Differential Equations

Research focuses on the fundamental analysis of nonlinear PDE, and numerical algorithms for their solution. Current areas of interest include the calculus of variations, nonlinear hyperbolic systems, inverse problems, homogenization, infinite-dimensional dynamical systems, geometric analysis and PDE arising in solid and fluid mechanics, materials science, liquid crystals, biology and relativity.

Topology

The members of the topology group have very wide ranging interests in algebraic, geometric and differential topology. Both high- and low-dimensional manifold theory (including knot theory) are represented. Particular research foci are topological quantum field theory and geometric group theory.